Daryl Cooper and Genevieve S Walsh

Abstract

Suppose that M is
a fibered three-manifold whose fiber is a surface of positive genus with one boundary component.
Assume that M
is not a semi-bundle. We show that infinitely many fillings of
M along
∂M are
virtually Haken. It follows that infinitely many Dehn-surgeries of any non-trivial knot
in the three-sphere are virtually Haken.